A no-go theorem for the Majorana fermion on a lattice

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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8 pages, uses PTPTeX. The final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.112.855

A variant of the Nielsen--Ninomiya no-go theorem is formulated. This theorem
states that, under several assumptions, it is impossible to write down a
doubler-free Euclidean lattice action of a single Majorana fermion in $8k$ and
$8k+1$ dimensions.

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